Adimurthi, ; Filippas, Stathis ; Tertikas, Achilles (2009) On the best constant of Hardy-Sobolev inequalities Nonlinear Analysis: Theory, Methods & Applications, 70 (8). pp. 2826-2833. ISSN 0362-546X
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Official URL: http://dx.doi.org//10.1016/j.na.2008.12.019
Related URL: http://dx.doi.org/10.1016/j.na.2008.12.019
Abstract
We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin.This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality. In three dimensions, in certain cases the sharp constant coincides with the best Sobolev constant.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Hardy Inequality; Sobolev Inequality; Critical Exponent; Best Constant; Caffarelli-kohn-nirenberg Inequality |
| ID Code: | 12007 |
| Deposited On: | 10 Nov 2010 05:08 |
| Last Modified: | 16 May 2016 21:24 |
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